2. A mass-spring system is initially at its equilibrium point with an initial velocity of 7 m/sin the positive direction. (i.e. extending the spring) The mass is 2 kg, the spring constantis 10 N/m and the damping constant of 8 Ns/m. There is also a constant external forceof 20 N in the positive direction.a.Write an initial value problem describing the situation.b.Find the solution using the techniques of chapter 4. (i.e. homogeneoussolution, particular solution, etc.)C.Find the solution using the techniques of chapter 7. (i.e. Using a Laplacetransform)

Given:mass of the block, m = 2 kgspring constant, k = 10 N/mdamping constant, b = 8 Ns/mExternal…

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